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Finding the Third Proportional to 1,022,068.13 and 2,213,421.19

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Solution

The third proportional to 1,022,068.13 and 2,213,421.19 is: 4,793,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,068.13 : 2,213,421.19 = 2,213,421.19 : x
  2. Step 2: Convert to fraction form
    1,022,068.13/2,213,421.19 = 2,213,421.19/x
  3. Step 3: Cross multiply
    1,022,068.13x = 2,213,421.19 × 2,213,421.19
  4. Step 4: Simplify right side
    1,022,068.13x = 4,899,233,353,273.91
  5. Step 5: Solve for x
    x = 4,899,233,353,273.91/1,022,068.13
  6. Step 6: Final answer
    x = 4,793,450.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.